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Finding the Fourth Proportional to 365.92, 548.62 and 160.43

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Solution

The fourth proportional to 365.92, 548.62 and 160.43 is: 240.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.92 : 548.62 = 160.43 : x
  2. Step 2: Convert to fraction form
    365.92/548.62 = 160.43/x
  3. Step 3: Cross multiply
    365.92x = 548.62 × 160.43
  4. Step 4: Simplify right side
    365.92x = 88,015.95
  5. Step 5: Solve for x
    x = 88,015.95/365.92
  6. Step 6: Final answer
    x = 240.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.